A386017 Primes having only {0, 1, 2, 4} as digits.

2, 11, 41, 101, 211, 241, 401, 421, 1021, 1201, 2011, 2111, 2141, 2221, 2411, 2441, 4001, 4021, 4111, 4201, 4211, 4241, 4421, 4441, 10111, 10141, 10211, 11411, 12011, 12041, 12101, 12211, 12241, 12401, 12421, 14011, 14221, 14401, 14411, 20011, 20021, 20101, 20201

Offset: 1

Author

Jason Bard, Jul 14 2025

Keywords

• nonn
• base
• easy

Links

• Jason Bard, Table of n, a(n) for n = 1..10000
• Index to entries for primes with digits in a given set

Crossrefs

Subsequence of A036956.

Supersequence of A036953, A260266, A260267.

Cf. A000040, A030430, A385776.

Programs

Magma

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 4]];

Mathematica

Select[FromDigits /@ Tuples[{0, 1, 2, 4}, n], PrimeQ]

PARI

primes_with(, 1, [0, 1, 2, 4]) \\ uses function in A385776

Python

print(list(islice(primes_with("0124"), 41))) # uses function/imports in A385776